#include <itkElasticBodySplineKernelTransform.h>

Detailed Description

template<typename TParametersValueType = double, unsigned int VDimension = 3>
class itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >

This class defines the elastic body spline (EBS) transformation.

This class defines the elastic body spline (EBS) transformation. It is implemented in as straightforward a manner as possible from the IEEE TMI paper by Davis, Khotanzad, Flamig, and Harms, Vol. 16 No. 3 June 1997 Taken from the paper: The EBS "is based on a physical model of a homogeneous, isotropic, three-dimensional elastic body. The model can approximate the way that some physical objects deform".

Definition at line 40 of file itkElasticBodySplineKernelTransform.h.

Inheritance diagram for itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >:

Collaboration diagram for itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >:

Public Types
using	ConstPointer = SmartPointer< const Self >

using	Pointer = SmartPointer< Self >

using	Self = ElasticBodySplineKernelTransform

using	Superclass = KernelTransform< TParametersValueType, VDimension >

Public Types inherited from itk::KernelTransform< TParametersValueType, VDimension >
using	AMatrixType = vnl_matrix_fixed< TParametersValueType, VDimension, VDimension >

using	BMatrixType = vnl_vector_fixed< TParametersValueType, VDimension >

using	ColumnMatrixType = vnl_matrix_fixed< TParametersValueType, VDimension, 1 >

using	ConstPointer = SmartPointer< const Self >

using	DMatrixType = vnl_matrix< TParametersValueType >

using	GMatrixType = vnl_matrix_fixed< TParametersValueType, VDimension, VDimension >

using	IMatrixType = vnl_matrix_fixed< TParametersValueType, VDimension, VDimension >

using	KMatrixType = vnl_matrix< TParametersValueType >

using	LMatrixType = vnl_matrix< TParametersValueType >

using	PMatrixType = vnl_matrix< TParametersValueType >

using	Pointer = SmartPointer< Self >

using	PointIdentifier = typename PointSetType::PointIdentifier

using	PointsConstIterator = typename PointSetType::PointsContainerConstIterator

using	PointsContainer = typename PointSetType::PointsContainer

using	PointSetPointer = typename PointSetType::Pointer

using	PointSetTraitsType = DefaultStaticMeshTraits< TParametersValueType, VDimension, VDimension, TParametersValueType, TParametersValueType >

using	PointSetType = PointSet< InputPointType, VDimension, PointSetTraitsType >

using	PointsIterator = typename PointSetType::PointsContainerIterator

using	RowMatrixType = vnl_matrix_fixed< TParametersValueType, 1, VDimension >

using	Self = KernelTransform

using	Superclass = Transform< TParametersValueType, VDimension, VDimension >

using	VectorSetPointer = typename VectorSetType::Pointer

using	VectorSetType = itk::VectorContainer< SizeValueType, InputVectorType >

using	WMatrixType = vnl_matrix< TParametersValueType >

using	YMatrixType = vnl_matrix< TParametersValueType >

Public Types inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
using	ConstPointer = SmartPointer< const Self >

using	DerivativeType = Array< ParametersValueType >

using	DirectionChangeMatrix = Matrix< double, Self::OutputSpaceDimension, Self::InputSpaceDimension >

using	InputCovariantVectorType = CovariantVector< TParametersValueType, VInputDimension >

using	InputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

using	InputDirectionMatrix = Matrix< double, Self::InputSpaceDimension, Self::InputSpaceDimension >

using	InputPointType = Point< TParametersValueType, VInputDimension >

using	InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VInputDimension >

using	InputVectorPixelType = VariableLengthVector< TParametersValueType >

using	InputVectorType = Vector< TParametersValueType, VInputDimension >

using	InputVnlVectorType = vnl_vector_fixed< TParametersValueType, VInputDimension >

using	InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension >

using	InverseTransformBasePointer = typename InverseTransformBaseType::Pointer

using	InverseTransformBaseType = Transform< TParametersValueType, VOutputDimension, VInputDimension >

using	JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension >

using	JacobianType = Array2D< ParametersValueType >

using	MatrixType = Matrix< TParametersValueType, Self::OutputSpaceDimension, Self::InputSpaceDimension >

using	OutputCovariantVectorType = CovariantVector< TParametersValueType, VOutputDimension >

using	OutputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType >

using	OutputDirectionMatrix = Matrix< double, Self::OutputSpaceDimension, Self::OutputSpaceDimension >

using	OutputPointType = Point< TParametersValueType, VOutputDimension >

using	OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VOutputDimension >

using	OutputVectorPixelType = VariableLengthVector< TParametersValueType >

using	OutputVectorType = Vector< TParametersValueType, VOutputDimension >

using	OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, VOutputDimension >

using	Pointer = SmartPointer< Self >

using	ScalarType = ParametersValueType

using	Self = Transform

using	Superclass = TransformBaseTemplate< TParametersValueType >

Public Member Functions
virtual TParametersValueType	GetAlpha () const

const char *	GetNameOfClass () const override

virtual void	SetAlpha (TParametersValueType _arg)

Public Member Functions inherited from itk::KernelTransform< TParametersValueType, VDimension >
void	ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override

void	ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianPositionType &) const override

void	ComputeWMatrix ()

const FixedParametersType &	GetFixedParameters () const override

virtual VectorSetType *	GetModifiableDisplacements ()

const char *	GetNameOfClass () const override

const ParametersType &	GetParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

void	SetFixedParameters (const FixedParametersType &) override

void	SetParameters (const ParametersType &) override

OutputPointType	TransformPoint (const InputPointType &thisPoint) const override

OutputVnlVectorType	TransformVector (const InputVnlVectorType &) const override

virtual void	UpdateParameters () const

virtual PointSetType *	GetModifiableSourceLandmarks ()

virtual void	SetSourceLandmarks (PointSetType *)

virtual PointSetType *	GetModifiableTargetLandmarks ()

virtual void	SetTargetLandmarks (PointSetType *)

OutputVectorType	TransformVector (const InputVectorType &) const override

OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &) const override

virtual void	SetStiffness (double _arg)

virtual double	GetStiffness () const

Public Member Functions inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
virtual void	ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const

void	CopyInFixedParameters (const FixedParametersValueType const begin, const FixedParametersValueType const end) override

void	CopyInParameters (const ParametersValueType const begin, const ParametersValueType const end) override

const FixedParametersType &	GetFixedParameters () const override

unsigned int	GetInputSpaceDimension () const override

bool	GetInverse (Self *) const

virtual InverseTransformBasePointer	GetInverseTransform () const

const char *	GetNameOfClass () const override

virtual NumberOfParametersType	GetNumberOfFixedParameters () const

virtual NumberOfParametersType	GetNumberOfLocalParameters () const

NumberOfParametersType	GetNumberOfParameters () const override

unsigned int	GetOutputSpaceDimension () const override

const ParametersType &	GetParameters () const override

TransformCategoryEnum	GetTransformCategory () const override

std::string	GetTransformTypeAsString () const override

virtual bool	IsLinear () const

	itkCloneMacro (Self)

void	SetParametersByValue (const ParametersType &p) override

virtual OutputCovariantVectorType	TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const

virtual OutputDiffusionTensor3DType	TransformDiffusionTensor3D (const InputDiffusionTensor3DType &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformDiffusionTensor3D (const InputVectorPixelType &inputTensor, const InputPointType &point) const

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const

virtual OutputSymmetricSecondRankTensorType	TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor, const InputPointType &point) const

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &) const

virtual OutputVectorPixelType	TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const

virtual OutputVectorType	TransformVector (const InputVectorType &vector, const InputPointType &point) const

virtual OutputVnlVectorType	TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const

virtual void	UpdateTransformParameters (const DerivativeType &update, ParametersValueType factor=1.0)

	itkLegacyMacro (virtual void ComputeJacobianWithRespectToPosition(const InputPointType &x, JacobianType &jacobian) const)

	itkLegacyMacro (virtual void ComputeInverseJacobianWithRespectToPosition(const InputPointType &x, JacobianType &jacobian) const)

virtual void	ComputeInverseJacobianWithRespectToPosition (const InputPointType &pnt, InverseJacobianPositionType &jacobian) const

std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void >	ApplyToImageMetadata (TImage *image) const

std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void >	ApplyToImageMetadata (SmartPointer< TImage > image) const

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::KernelTransform< TParametersValueType, VDimension >
static Pointer	New ()

Static Public Attributes
static constexpr unsigned int	SpaceDimension = Superclass::SpaceDimension

Static Public Attributes inherited from itk::KernelTransform< TParametersValueType, VDimension >
static constexpr unsigned int	SpaceDimension = VDimension

Static Public Attributes inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
static constexpr unsigned int	InputSpaceDimension

static constexpr unsigned int	OutputSpaceDimension

Protected Types
using	GMatrixType = vnl_matrix_fixed< TParametersValueType, VDimension, VDimension >

Protected Member Functions
void	ComputeG (const InputVectorType &x, GMatrixType &gmatrix) const override

	ElasticBodySplineKernelTransform ()

void	PrintSelf (std::ostream &os, Indent indent) const override

	~ElasticBodySplineKernelTransform () override=default

Protected Member Functions inherited from itk::KernelTransform< TParametersValueType, VDimension >
void	ComputeD ()

virtual void	ComputeDeformationContribution (const InputPointType &thisPoint, OutputPointType &result) const

void	ComputeK ()

void	ComputeL ()

void	ComputeP ()

virtual const GMatrixType &	ComputeReflexiveG (PointsIterator) const

void	ComputeY ()

	KernelTransform ()

void	PrintSelf (std::ostream &os, Indent indent) const override

void	ReorganizeW ()

	~KernelTransform () override=default

Protected Member Functions inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
LightObject::Pointer	InternalClone () const override

OutputDiffusionTensor3DType	PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType &, const InverseJacobianPositionType &) const

	Transform ()=default

	Transform (NumberOfParametersType numberOfParameters)

	~Transform () override=default

Protected Attributes

TParametersValueType	m_Alpha {}

Protected Attributes inherited from itk::KernelTransform< TParametersValueType, VDimension >
AMatrixType	m_AMatrix {}

BMatrixType	m_BVector {}

VectorSetPointer	m_Displacements {}

DMatrixType	m_DMatrix {}

GMatrixType	m_GMatrix {}

IMatrixType	m_I {}

KMatrixType	m_KMatrix {}

LMatrixType	m_LMatrix {}

PMatrixType	m_PMatrix {}

PointSetPointer	m_SourceLandmarks {}

double	m_Stiffness {}

PointSetPointer	m_TargetLandmarks {}

WMatrixType	m_WMatrix {}

bool	m_WMatrixComputed {}

YMatrixType	m_YMatrix {}

Protected Attributes inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
FixedParametersType	m_FixedParameters

ParametersType	m_Parameters

Additional Inherited Members
Static Protected Member Functions inherited from itk::Transform< TParametersValueType, VDimension, VDimension >
static InverseTransformBasePointer	InvertTransform (const TTransform &transform)

Member Typedef Documentation

◆ ConstPointer

template<typename TParametersValueType = double, unsigned int VDimension = 3>

using itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::ConstPointer = SmartPointer<const Self>

Definition at line 50 of file itkElasticBodySplineKernelTransform.h.

◆ GMatrixType

template<typename TParametersValueType = double, unsigned int VDimension = 3>

using itk::KernelTransform< TParametersValueType, VDimension >::GMatrixType = vnl_matrix_fixed<TParametersValueType, VDimension, VDimension>

protected

'G' matrix type alias.

Definition at line 254 of file itkKernelTransform.h.

◆ Pointer

template<typename TParametersValueType = double, unsigned int VDimension = 3>

using itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::Pointer = SmartPointer<Self>

Definition at line 49 of file itkElasticBodySplineKernelTransform.h.

◆ Self

template<typename TParametersValueType = double, unsigned int VDimension = 3>

using itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::Self = ElasticBodySplineKernelTransform

Standard class type aliases.

Definition at line 46 of file itkElasticBodySplineKernelTransform.h.

◆ Superclass

template<typename TParametersValueType = double, unsigned int VDimension = 3>

using itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::Superclass = KernelTransform<TParametersValueType, VDimension>

Definition at line 47 of file itkElasticBodySplineKernelTransform.h.

Constructor & Destructor Documentation

◆ ElasticBodySplineKernelTransform()

template<typename TParametersValueType = double, unsigned int VDimension = 3>

itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::ElasticBodySplineKernelTransform ( )

protected

◆ ~ElasticBodySplineKernelTransform()

template<typename TParametersValueType = double, unsigned int VDimension = 3>

itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::~ElasticBodySplineKernelTransform ( )

overrideprotecteddefault

Member Function Documentation

◆ ComputeG()

template<typename TParametersValueType = double, unsigned int VDimension = 3>

void itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::ComputeG	(	const InputVectorType &	x,
		GMatrixType &	gmatrix
	)		const

overrideprotectedvirtual

Compute G(x) For the elastic body spline, this is: \( G(x) = [alpha*r(x)^2*I - 3*x*x']*r(x) \) \( G(x) = [\alpha*r(x)^2*I - 3*x*x']*r(x) \) where \(\alpha = 12 ( 1 - \nu ) - 1\) \(\nu\) is Poisson's Ratio \( r(x) = Euclidean norm = sqrt[x1^2 + x2^2 + x3^2] \)

\[ r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 } \]

I = identity matrix

Reimplemented from itk::KernelTransform< TParametersValueType, VDimension >.

◆ GetAlpha()

template<typename TParametersValueType = double, unsigned int VDimension = 3>

virtual TParametersValueType itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::GetAlpha ( ) const

virtual

Get alpha

◆ GetNameOfClass()

template<typename TParametersValueType = double, unsigned int VDimension = 3>

const char* itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::GetNameOfClass ( ) const

override

See also: LightObject::GetNameOfClass()

◆ New()

template<typename TParametersValueType = double, unsigned int VDimension = 3>

static Pointer itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::New ( )

static

New macro for creation of through a Smart Pointer

◆ PrintSelf()

template<typename TParametersValueType = double, unsigned int VDimension = 3>

void itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

overrideprotected

◆ SetAlpha()

template<typename TParametersValueType = double, unsigned int VDimension = 3>

virtual void itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::SetAlpha ( TParametersValueType _arg )

virtual

Set alpha. Alpha is related to Poisson's Ratio ( \(\nu\)) as \(\alpha = 12 ( 1 - \nu ) - 1\)

Member Data Documentation

◆ m_Alpha

template<typename TParametersValueType = double, unsigned int VDimension = 3>

TParametersValueType itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::m_Alpha {}

protected

alpha, Alpha is related to Poisson's Ratio ( \(\nu\)) as \( \alpha = 12 ( 1 - \nu ) - 1\)

Definition at line 112 of file itkElasticBodySplineKernelTransform.h.

◆ SpaceDimension

template<typename TParametersValueType = double, unsigned int VDimension = 3>

constexpr unsigned int itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >::SpaceDimension = Superclass::SpaceDimension

staticconstexpr

Dimension of the domain space.

Definition at line 71 of file itkElasticBodySplineKernelTransform.h.

The documentation for this class was generated from the following file:

itkElasticBodySplineKernelTransform.h

Detailed Description

template<typename TParametersValueType = double, unsigned int VDimension = 3> class itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Types

Protected Member Functions

Protected Attributes

Additional Inherited Members

Member Typedef Documentation

◆ ConstPointer

◆ GMatrixType

◆ Pointer

◆ Self

◆ Superclass

Constructor & Destructor Documentation

◆ ElasticBodySplineKernelTransform()

◆ ~ElasticBodySplineKernelTransform()

Member Function Documentation

◆ ComputeG()

◆ GetAlpha()

◆ GetNameOfClass()

◆ New()

◆ PrintSelf()

◆ SetAlpha()

Member Data Documentation

◆ m_Alpha

◆ SpaceDimension

template<typename TParametersValueType = double, unsigned int VDimension = 3>
class itk::ElasticBodySplineKernelTransform< TParametersValueType, VDimension >